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math.AP2025
A note on Poincaré-Sobolev type inequalities on compact manifolds
Romain Gicquaud
We prove a Poincaré-Sobolev type inequality on compact Riemannian manifolds where the deviation of a function from a biased average, defined using a density, is controlled by the u…
math.DG2025
A definition of the mass aspect function for weakly regular asymptotically hyperbolic manifolds
Romain Gicquaud, Anna Sakovich
In contrast to the well-known and unambiguous notion of ADM mass for asymptotically Euclidean manifolds, the notion of mass for asymptotically hyperbolic manifolds admits several i…